Details

sample27.0ms

Algorithm

intervals

Results

12.0ms

366×

body

valid

simplify68.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	6
1	89	6
2	277	6
3	735	6
4	1436	6
5	1714	6
6	1730	6
7	1730	6

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* (* z 9.0) t))
0.2b	(* (* z 9.0) t)
6.5b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`times-frac` `associate-r` `pow-prod-down` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-l` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 54

Calls

3 calls:

2.0ms	(- (* x y) (* (* z 9.0) t))
6.0ms	(* (* z 9.0) t)
8.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series135.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- (* x y) (* (* z 9.0) t))
20.0ms	(* (* z 9.0) t)
63.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	326	399
1	1408	341
2	5002	341

prune177.0ms

Filtered

63 candidates to 44 candidates (69.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.6b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 4.5 (/ (* t z) a))
0.2b	(* 0.5 (/ (* x y) a))
3.9b	(/ (* x y) a)
4.1b	(/ (* t z) a)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log` `add-cbrt-cube`
18×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
12×	`times-frac`
10×	`prod-exp` `cbrt-unprod`
8×	`pow1` `cbrt-undiv` `div-exp`
6×	`associate-l` `associate-/r*`
4×	`div-inv` `add-log-exp`
2×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l*` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

8.0ms	(* 4.5 (/ (* t z) a))
8.0ms	(* 0.5 (/ (* x y) a))
3.0ms	(/ (* x y) a)
3.0ms	(/ (* t z) a)

series97.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* 4.5 (/ (* t z) a))
32.0ms	(* 0.5 (/ (* x y) a))
19.0ms	(/ (* x y) a)
20.0ms	(/ (* t z) a)

simplify50.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	380	456
1	2036	370
2	5002	370

prune254.0ms

Filtered

108 candidates to 68 candidates (63.0%)

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* 9.0 (* t z)))
0.3b	(* 9.0 (* t z))
6.5b	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`times-frac` `associate-l` `pow-prod-down` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-r` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 54

Calls

3 calls:

3.0ms	(- (* x y) (* 9.0 (* t z)))
6.0ms	(* 9.0 (* t z))
8.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

series143.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(- (* x y) (* 9.0 (* t z)))
19.0ms	(* 9.0 (* t z))
67.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

simplify42.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	311	398
1	1209	340
2	5001	340

prune160.0ms

Filtered

63 candidates to 42 candidates (66.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (cbrt 4.5) (cbrt 4.5)) (* (cbrt 4.5) (/ (* t z) a)))
0.2b	(* (cbrt 4.5) (/ (* t z) a))
3.9b	(/ (* x y) a)
4.1b	(/ (* t z) a)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-exp-log`
38×	`add-cbrt-cube`
26×	`prod-exp` `cbrt-unprod`
18×	`pow1`
16×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`cbrt-undiv` `div-exp`
9×	`times-frac` `pow-prod-down`
8×	`associate-r`
7×	`associate-l`
6×	`associate-/r*`
4×	`cbrt-prod` `add-log-exp`
3×	`associate-*r/` `div-inv`
2×	`frac-2neg` `clear-num` `-commutative` `associate-/l` `unswap-sqr`

Counts

4 → 104

Calls

4 calls:

31.0ms	(* (* (cbrt 4.5) (cbrt 4.5)) (* (cbrt 4.5) (/ (* t z) a)))
9.0ms	(* (cbrt 4.5) (/ (* t z) a))
3.0ms	(/ (* x y) a)
3.0ms	(/ (* t z) a)

series224.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(* (* (cbrt 4.5) (cbrt 4.5)) (* (cbrt 4.5) (/ (* t z) a)))
84.0ms	(* (cbrt 4.5) (/ (* t z) a))
19.0ms	(/ (* x y) a)
19.0ms	(/ (* t z) a)

simplify56.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	425	722
1	2175	541
2	5001	510

prune261.0ms

Filtered

116 candidates to 67 candidates (57.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.2b

regimes750.0ms

Accuracy

48.3% (3.8b remaining)

Error of 4.2b against oracle of 0.4b and baseline of 7.7b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	40
1	54	40

end0.0ms

sample699.0ms

Algorithm

intervals

Results

378.0ms

11253×

body

valid